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Beliebt Rechnen >

derivative of arccos(1-2x^2)

Lösung

\frac{d}{d x} (arccos (1 - 2 x^{2}))

Lösung

\frac{2 2}{- 2 x ^{2} + 2}

Schritte zur Lösung

\frac{d}{d x} (arccos (1 - 2 x^{2}))

Wende die Kettenregel an:

- \frac{1}{1 - ( 1 - 2 x ^{2} ) ^{2}} \frac{d}{d x} (1 - 2 x^{2})

= - \frac{1}{1 - ( 1 - 2 x ^{2} ) ^{2}} \frac{d}{d x} (1 - 2 x^{2})

\frac{d}{d x} (1 - 2 x^{2}) = - 4 x

= - \frac{1}{1 - ( 1 - 2 x ^{2} ) ^{2}} (- 4 x)

Vereinfache

- \frac{1}{1 - ( 1 - 2 x ^{2} ) ^{2}} (- 4 x) : \frac{2 2}{- 2 x ^{2} + 2}

= \frac{2 2}{- 2 x ^{2} + 2}

Graph

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